If `f(x)=sin^2x` and the composite functions `g{f(x)}=|sinx|,` then th – InterviewSolution

1.	If `f(x)=sin^2x` and the composite functions `g{f(x)}=\|sinx\|,` then the function `g(x)=`A. `sqrt(x-1)`B. `sqrtx`C. `sqrt(x+1)`D. `-sqrtx`
Answer» Correct Answer - B We have `f(x)=sin^(2) x and g (f(x))=\|sinx\|` Now, `g (f(x))=sinx\|` `Rightarrowg (f(x))=sqrt(sin^(2)x)Rightarrowg(sin^(2)x)=sqrt(sin^(2)x)` `therefore g(x)=sqrtx)`

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